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Finding the Third Proportional to 330,970.50 and 496,011

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Solution

The third proportional to 330,970.50 and 496,011 is: 743,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,970.50 : 496,011 = 496,011 : x
  2. Step 2: Convert to fraction form
    330,970.50/496,011 = 496,011/x
  3. Step 3: Cross multiply
    330,970.50x = 496,011 × 496,011
  4. Step 4: Simplify right side
    330,970.50x = 246,026,912,121
  5. Step 5: Solve for x
    x = 246,026,912,121/330,970.50
  6. Step 6: Final answer
    x = 743,349.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.